Fun with hybrids. $[10$ points$]$ Assume G : $\{0,1\}$n $->\{0,1\}2$n is a $\backslash$epsi $-$secure PRG$,$

then argue that H : $\{0,1\}$n $->\{0,1\}4$n is a $(3\backslash$epsi $)-$secure PRG by designing a sequence of hybrid

games. Clearly articulate why each successive pair of hybrid games are close.